Complete families of solutions to the heat equation and generalized heat equation in \(R^n\)

DOI10.1016/0022-0396(77)90182-6zbMath0336.35049OpenAlexW2059650523MaRDI QIDQ5905842

David Colton, Wolfgang Watzlawek

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90182-6

Mathematics Subject Classification ID

Heat equation (35K05) Theoretical approximation in context of PDEs (35A35) Second-order parabolic equations (35K10)

Related Items

Generalized exponential basis for efficient solving of homogeneous diffusion free boundary problems: Russian option pricing ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability

Cites Work

• Constructive methods for elliptic equations
• Zum Cauchy-Problem bei der verallgemeinerten Wärmeleitungsgleichung
• Cauchy's problem for a singular parabolic partial differential equation
• A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
• Expansions in Terms of Heat Polynomials and Associated Functions
• Complete Families of Solutions for Parabolic Equations with Analytic Coefficients
• The approximation of solutions to initial boundary value problems for parabolic equations in one space variable
• A Method of Ascent for Parabolic and Pseudoparabolic Partial Differential Equations
• The Radial Heat Polynomials and Related Functions
• Integral Operators in the Theory of Linear Partial Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item